Inclusion Criteria:

          -  Be willing and able to provide written informed consent for the trial.

          -  Be ≥ 18 years of age on day of signing informed consent.

          -  Have ECOG performance status 0-1.

          -  Pretreatment CT chest /abdomen /pelvis within 28 days of protocol enrollment.

          -  Pathologic diagnosis of hepatocellular carcinoma (including fibrolamellar variants and
             biphenotypic tumors with an HCC component).

          -  Child Pugh Class A (score = 5 or 6)cirrhosis (assessed within 14 days of SBRT)

          -  Deemed ineligible for curative intent therapy with surgical resection or liver
             transplantation.

          -  Patients with diffuse/multifocal liver involvement are eligible.

          -  Patients with extrahepatic disease are eligible.

          -  Prior systemic therapies for HCC are allowed but not required.

          -  Must have at least one intrahepatic lesion amenable to SBRT.

          -  Prior transarterial chemoembolization (TACE) or radiofrequency ablation (RFA) allowed,
             however, patient must have separate intrahepatic lesion amenable to SBRT and biopsy.

          -  Intrahepatic lesion amenable to pre and post SBRT biopsies, unless the investigator
             determines that the tumor biopsies would be unsafe.

          -  Have measurable disease based on RECIST 1.1.

          -  Demonstrate adequate organ function as defined in Table 1. All screening labs should
             be performed within 14 days of treatment initiation.

        Table 1 - Adequate Organ Function Laboratory Values System Laboratory Value Hematological
        Platelets ≥ 40,000 / mcL Hepatic Serum total bilirubin ≤ 3 mg/dL AST (SGOT) and ALT (SGPT)
        ≤ 5 X ULN

          -  Negative urine or serum pregnancy within 72 hours prior to receiving the first dose of
             study medication for female subjects of childbearing age.

          -  Subjects should agree to use an adequate method of contraception starting with the
             first dose of study therapy through 150 days after the last dose of study therapy (for
             women of child-bearing potential) or 210 days after the last dose of study therapy
             (for men who have partners of child-bearing potential).

          -  Have a life expectancy of greater than 6 months (in the opinion of the treating
             physician).

        Exclusion Criteria:

          -  Prior external beam radiation therapy to the liver (defined as > 1 Gy).

          -  Prior yttrium-90 radioembolization treatment.

          -  Patients with HBV viral load > 100 IU/mL (antiviral therapy per local practice is
             required).

          -  Is currently participating and receiving study therapy or has participated in a study
             of an investigational agent and received study therapy or used an investigational
             device within 4 weeks of the first dose of treatment.

          -  Has a diagnosis of immunodeficiency or is receiving systemic steroid therapy at a dose
             of >10 mg prednisone daily or equivalent at time of first dose of trial treatment.

          -  Has a known history of active TB (Bacillus Tuberculosis).

          -  Hypersensitivity to nivolumab or ipilimumab or any of its excipients.

          -  Has had prior anticancer therapy within 4 weeks of study Day 1 or has not recovered
             (i.e., ≤ Grade 1 or at baseline) from adverse events due to agents administered more
             than 4 weeks earlier.

          -  Has a known additional malignancy that is progressing or requires active treatment.

          -  Has active autoimmune disease that has required systemic treatment in the past 2 years
             (i.e. with use of disease modifying agents, corticosteroids or immunosuppressive
             drugs). Replacement therapy (e.g., thyroxine, insulin, or physiologic corticosteroid
             replacement therapy for adrenal or pituitary insufficiency, etc.) is not considered a
             form of systemic treatment. Patients with allografts (including liver transplants) are
             not eligible for this protocol.

          -  Has known history of, or any evidence of active, non-infectious pneumonitis.

          -  Has an active infection requiring systemic therapy.

          -  Has a history or current evidence of any condition, therapy, or laboratory abnormality
             that might confound the results of the trial, interfere with the subject's
             participation for the full duration of the trial, or is not in the best interest of
             the subject to participate, in the opinion of the treating investigator.

          -  Has known psychiatric or substance abuse disorders that would interfere with
             cooperation with the requirements of the trial.

          -  Is pregnant or breastfeeding, or expecting to conceive or father children within the
             projected duration of the trial, starting with the screening visit through 120 days
             after the last dose of trial treatment.

          -  Has received a live vaccine within 30 days of planned start of study therapy.

          -  Note: Seasonal influenza vaccines for injection are generally inactivated flu vaccines
             and are allowed; however intranasal influenza vaccines (e.g., Flu-Mist®) are live
             attenuated vaccines, and are not allowed.